scholarly journals Phenomenology of two-texture zero neutrino mass matrices

2007 ◽  
Vol 76 (1) ◽  
Author(s):  
S. Dev ◽  
Sanjeev Kumar ◽  
Surender Verma ◽  
Shivani Gupta
2012 ◽  
Vol 27 (28) ◽  
pp. 1250159 ◽  
Author(s):  
P. M. FERREIRA ◽  
L. LAVOURA

We suggest a simple model, based on the type-I seesaw mechanism, for the lepton mass matrices. The model hinges on an Abelian symmetry which leads to mass matrices with some vanishing matrix elements. The model predicts one massless neutrino and Meμ = 0 (M is the effective light-neutrino Majorana mass matrix). We show that these predictions agree with the present experimental data if the neutrino mass spectrum is inverted, i.e. if m3 = 0, provided the Dirac phase δ is very close to maximal (±π/ 2). In the case of a normal neutrino mass spectrum, i.e. when m1 = 0, the agreement of our model with the data is imperfect — the reactor mixing angle θ13 is too small in our model. Minimal leptogenesis is not an option in our model due to the vanishing elements in the Yukawa-coupling matrices.


2016 ◽  
Vol 2016 (12) ◽  
pp. 123B08 ◽  
Author(s):  
Madan Singh ◽  
Gulsheen Ahuja ◽  
Manmohan Gupta

2019 ◽  
Vol 34 (11) ◽  
pp. 1950059 ◽  
Author(s):  
Mahadev Patgiri ◽  
Priyanka Kumar

We study the texture zeros of [Formula: see text] neutrino mass matrices [Formula: see text] in the minimal extended type-I seesaw (MES) mechanism, incorporating one extra gauge singlet field “[Formula: see text]”. The [Formula: see text]  MES model deals with [Formula: see text]  [Formula: see text], [Formula: see text]  [Formula: see text] and [Formula: see text] mass matrix [Formula: see text] which couples the right-handed neutrinos and the singlet field “[Formula: see text]”. We carry out the mapping of all possible zero textures of [Formula: see text], [Formula: see text] and [Formula: see text] with the restriction to phenomenologically predictive cases having total eight zeros of [Formula: see text] and [Formula: see text] studied in the literature. If [Formula: see text], the sterile neutrino mass, is subject to any limit, further block diagonalization of [Formula: see text] shall not be allowed to reduce it to a [Formula: see text] matrix. In [Formula: see text]  [Formula: see text] scenario, the study of texture zero is totally different and interesting. With this motivation, we consider the [Formula: see text] scheme where the digits of the pair represent the number of zeros of [Formula: see text] and [Formula: see text], respectively, along with the one/two-zero textures of [Formula: see text]. There are a large number of possibilities of zeros of fermion mass matrices, but the implementation of [Formula: see text] transformations reduces it to a very minimum number of basic structures. As the [Formula: see text] MES matrix is a matrix of rank 3, so we consider only those textures with two zeros which are of rank 3 whereby the number of feasible zero textures reduces to 12, out of 15. On realizing these 12 textures under MES mechanism with [Formula: see text] picture, we arrive at certain correlations for each texture. We examine the viability of each texture by scanning their respective correlations under recent neutrino oscillation data. Also, we discuss the interplay of Dirac and Majorana CP phases in determining the viability of a texture. The allowed two-zero textures are finally realized using a discrete Abelian flavor symmetry group [Formula: see text] with the extension of Standard Model to include some scalar fields.


2018 ◽  
Vol 33 (31) ◽  
pp. 1844032
Author(s):  
Gulsheen Ahuja ◽  
Manmohan Gupta

For Majorana as well as Dirac neutrinos, attempt has been made to carry out a comparative study of the predictions of Fritzsch-like texture 6, 5 and 4 zero leptonic mass matrices. In particular, considering normal hierarchy of neutrino masses, we have examined how the parameter space available to the mixing angles with respect to the lightest neutrino mass changes for the two types of neutrinos.


2010 ◽  
Vol 81 (5) ◽  
Author(s):  
S. Dev ◽  
Surender Verma ◽  
Shivani Gupta ◽  
R. R. Gautam

2015 ◽  
Vol 92 (1) ◽  
Author(s):  
Radha Raman Gautam ◽  
Madan Singh ◽  
Manmohan Gupta

2016 ◽  
Vol 31 (13) ◽  
pp. 1650077 ◽  
Author(s):  
Avtandil Achelashvili ◽  
Zurab Tavartkiladze

Aiming to relate leptonic CP violating phase [Formula: see text] to the cosmological CP asymmetry, we study the extension of MSSM by two quasi-degenerate (strictly degenerate at tree level) right-handed neutrinos and consider all possible two texture zero [Formula: see text] Yukawa matrices plus one [Formula: see text] dimension five [Formula: see text] operator contributing to the light neutrino mass matrix. We classify all experimentally viable mass matrices, leading to several predictions, and analytically derive predictive relations. We also relate the CP violating [Formula: see text] phase to the CP phase of the thermal leptogenesis.


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